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11780280369 = 32114132232
BaseRepresentation
bin10101111100010100…
…01101000000110001
31010101222200020200100
422332022031000301
5143111222432434
65224540143013
7564632505504
oct127612150061
933358606610
1011780280369
114aa5730000
122349237a69
131159794900
147da78513b
1548e31d699
hex2be28d031

11780280369 has 135 divisors (see below), whose sum is σ = 21187528635. Its totient is φ = 6303828960.

The previous prime is 11780280331. The next prime is 11780280377. The reversal of 11780280369 is 96308208711.

The square root of 11780280369 is 108537.

It is a perfect power (a square), and thus also a powerful number.

11780280369 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 0 + 280 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1742645025 + 10037635344 = 41745^2 + 100188^2 .

It is not a de Polignac number, because 11780280369 - 27 = 11780280241 is a prime.

It is a super-2 number, since 2×117802803692 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11780280469) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 512186092 + ... + 512186114.

Almost surely, 211780280369 is an apocalyptic number.

11780280369 is the 108537-th square number.

11780280369 is the 54269-th centered octagonal number.

It is an amenable number.

11780280369 is a deficient number, since it is larger than the sum of its proper divisors (9407248266).

11780280369 is an equidigital number, since it uses as much as digits as its factorization.

11780280369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11780280369 in words is "eleven billion, seven hundred eighty million, two hundred eighty thousand, three hundred sixty-nine".

Divisors: 1 3 9 11 13 23 33 39 69 99 117 121 143 169 207 253 299 363 429 507 529 759 897 1089 1287 1331 1521 1573 1587 1859 2277 2691 2783 3289 3887 3993 4719 4761 5577 5819 6877 8349 9867 11661 11979 14157 14641 16731 17303 17457 20449 20631 25047 29601 30613 34983 36179 42757 43923 51909 52371 61347 61893 64009 75647 89401 91839 108537 128271 131769 155727 184041 190333 192027 224939 226941 268203 275517 325611 336743 384813 397969 470327 570999 576081 674817 680823 704099 804609 832117 983411 1010229 1193907 1410981 1712997 2024451 2112297 2474329 2496351 2950233 3030687 3581721 4232943 4377659 5173597 6336891 7422987 7489053 7745089 8850699 9153287 10817521 13132977 15520791 22268961 23235267 27459861 32452563 39398931 46562373 56909567 69705801 82379583 97357689 100686157 118992731 170728701 302058471 356978193 512186103 906175413 1070934579 1308920041 3926760123 11780280369